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 Documentation Ver 1.0.0 August 2011 by
 <a href="http://mmc.geofisica.unam.mx/luiggi">Luis M. de la Cruz</a> <br>
 <a href="http://mmc.geofisica.unam.mx"> GMMC </a> -
 <a href="http://www.geofisica.unam.mx/recnat/"> Depto. de Recursos Naturales </a> -
 <a href="http://www.geofisica.unam.mx"> Instituto de Geof&iacute;sica </a> -
 <a href="http://www.unam.mx"> UNAM </a><br>
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<div class="title">Examples/09FlowInPorousMedia/BuckleyLeverett1D.cpp</div>  </div>
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<a href="BuckleyLeverett1D_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00026"></a>00026 <span class="preprocessor">#include &lt;iostream&gt;</span>
<a name="l00027"></a>00027 <span class="preprocessor">#include &lt;cmath&gt;</span>
<a name="l00028"></a>00028 <span class="preprocessor">#include &quot;Meshes/Uniform.hpp&quot;</span>
<a name="l00029"></a>00029 <span class="preprocessor">#include &quot;Storage/DiagonalMatrix.hpp&quot;</span> 
<a name="l00030"></a>00030 <span class="preprocessor">#include &quot;Equations/TwoPhaseEquation.hpp&quot;</span>
<a name="l00031"></a>00031 <span class="preprocessor">#include &quot;./BL/BLIP1.hpp&quot;</span>
<a name="l00032"></a>00032 <span class="preprocessor">#include &quot;./BL/BLES1.hpp&quot;</span>
<a name="l00033"></a>00033 <span class="preprocessor">#include &quot;Solvers/TDMA.hpp&quot;</span>
<a name="l00034"></a>00034 <span class="preprocessor">#include &quot;Solvers/explicit.hpp&quot;</span>
<a name="l00035"></a>00035 <span class="preprocessor">#include &quot;Utils/inout.hpp&quot;</span> 
<a name="l00036"></a>00036 <span class="preprocessor">#include &quot;Utils/num_utils.hpp&quot;</span>
<a name="l00037"></a>00037 <span class="preprocessor">#include &quot;Utils/GNUplot.hpp&quot;</span>
<a name="l00038"></a>00038 <span class="keyword">using namespace </span>Tuna;
<a name="l00039"></a>00039   
<a name="l00040"></a>00040 <span class="comment">// Scalar field in one dimension</span>
<a name="l00041"></a>00041 <span class="keyword">typedef</span> <a class="code" href="structTuna_1_1TunaArray.html#af3bcab5018eec3d7697c9fb03ad89157" title="Definition of big arrays to store scalar fields on meshes.">TunaArray&lt;double,1&gt;::huge</a> ScalarField1D;
<a name="l00042"></a>00042 
<a name="l00043"></a><a class="code" href="BuckleyLeverett1D_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">00043</a> <span class="keywordtype">int</span> main() 
<a name="l00044"></a>00044 {
<a name="l00045"></a>00045     <span class="keywordtype">double</span> length, dt, Tmax, tolerance; 
<a name="l00046"></a>00046     <span class="keywordtype">int</span> num_nodes, frequency;
<a name="l00047"></a>00047     <span class="keywordtype">double</span> porosity, permeability, mu_w, mu_o, Srw, Sro;
<a name="l00048"></a>00048     <span class="keywordtype">double</span> injection, pres_out, Sw_in;
<a name="l00049"></a>00049 
<a name="l00050"></a>00050 <span class="comment">// Reading data from the input file</span>
<a name="l00051"></a>00051     std::ifstream input_cin (<span class="stringliteral">&quot;inputBL1D&quot;</span>); 
<a name="l00052"></a>00052     input_cin &gt;&gt; length
<a name="l00053"></a>00053               &gt;&gt; num_nodes
<a name="l00054"></a>00054               &gt;&gt; porosity
<a name="l00055"></a>00055               &gt;&gt; permeability
<a name="l00056"></a>00056               &gt;&gt; mu_w
<a name="l00057"></a>00057               &gt;&gt; mu_o
<a name="l00058"></a>00058               &gt;&gt; Srw
<a name="l00059"></a>00059               &gt;&gt; Sro
<a name="l00060"></a>00060               &gt;&gt; injection
<a name="l00061"></a>00061               &gt;&gt; pres_out
<a name="l00062"></a>00062               &gt;&gt; Sw_in
<a name="l00063"></a>00063               &gt;&gt; dt
<a name="l00064"></a>00064               &gt;&gt; Tmax
<a name="l00065"></a>00065               &gt;&gt; frequency;
<a name="l00066"></a>00066     input_cin.close();
<a name="l00067"></a>00067 
<a name="l00068"></a>00068     <span class="keywordtype">double</span> Gamma = permeability;
<a name="l00069"></a>00069 
<a name="l00070"></a>00070     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;Uniform&lt;double, 1&gt;</a> &gt; mesh(length, num_nodes);
<a name="l00071"></a>00071     <span class="keywordtype">float</span> dx = mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#aaba777c073533ba2c27b21c02d6f3c7e" title="Returns the deltas of the mesh in each axis.">getDelta</a>(X);
<a name="l00072"></a>00072     mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#af921bd8d0279b7510d8db6f7d87652c2" title="Print the info of the mesh on to the screen.">print</a>();
<a name="l00073"></a>00073 
<a name="l00074"></a>00074     ScalarField1D p ( mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#a9585dedb8135e52cbee25aaf5b15f851" title="Returns the volumes of the mesh in each axis.">getExtentVolumes</a>() );
<a name="l00075"></a>00075     ScalarField1D Sw ( mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#a9585dedb8135e52cbee25aaf5b15f851" title="Returns the volumes of the mesh in each axis.">getExtentVolumes</a>() ); 
<a name="l00076"></a>00076     ScalarField1D p_n( mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#a0f91652c4a19682f5b91b356dea3b921" title="Returns the nodes of the mesh in each axis.">getExtentNodes</a>()   );
<a name="l00077"></a>00077     ScalarField1D Sw_n( mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#a0f91652c4a19682f5b91b356dea3b921" title="Returns the nodes of the mesh in each axis.">getExtentNodes</a>()   );
<a name="l00078"></a>00078 
<a name="l00079"></a>00079     <span class="comment">// Initial conditions</span>
<a name="l00080"></a>00080     Sw = 0;
<a name="l00081"></a>00081     p = pres_out; 
<a name="l00082"></a>00082  
<a name="l00083"></a>00083     <span class="comment">// Boundary condition</span>
<a name="l00084"></a>00084     Sw(0) = Sw_in;  
<a name="l00085"></a>00085 
<a name="l00086"></a>00086     NumUtils::interpolateToNodes(p_n, p);
<a name="l00087"></a>00087     InOut::writeToFile(p_n, 0, <span class="stringliteral">&quot;./DataBL1D/pres.&quot;</span>, dx);
<a name="l00088"></a>00088     NumUtils::interpolateToNodes(Sw_n, Sw);
<a name="l00089"></a>00089     InOut::writeToFile(Sw_n, 0, <span class="stringliteral">&quot;./DataBL1D/satu.&quot;</span>, dx);
<a name="l00090"></a>00090 
<a name="l00091"></a>00091         
<a name="l00092"></a>00092 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00093"></a>00093 <span class="preprocessor"></span>    GNUplot plotter;
<a name="l00094"></a>00094     <span class="keywordtype">int</span> pause; 
<a name="l00095"></a>00095     plotter(<span class="stringliteral">&quot;set grid&quot;</span>);
<a name="l00096"></a>00096     <span class="comment">/*</span>
<a name="l00097"></a>00097 <span class="comment">    plotter(&quot;p \&quot;./DataBL1D/pres.00000\&quot; title \&quot;Pressure\&quot;w lp&quot;);</span>
<a name="l00098"></a>00098 <span class="comment">    std::cout &lt;&lt; &quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;;</span>
<a name="l00099"></a>00099 <span class="comment">    std::cin &gt;&gt; pause;</span>
<a name="l00100"></a>00100 <span class="comment">    plotter(&quot;p \&quot;./DataBL1D/satu.00000\&quot; title \&quot;Saturation\&quot;w lp&quot;);</span>
<a name="l00101"></a>00101 <span class="comment">    std::cout &lt;&lt; &quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;;</span>
<a name="l00102"></a>00102 <span class="comment">    std::cin &gt;&gt; pause;</span>
<a name="l00103"></a>00103 <span class="comment">    */</span>
<a name="l00104"></a>00104 <span class="preprocessor">#endif</span>
<a name="l00105"></a>00105 <span class="preprocessor"></span>
<a name="l00106"></a>00106     SparseMatrix&lt; Diagonal&lt; double, 1&gt; &gt; A(num_nodes); 
<a name="l00107"></a>00107     <span class="comment">//    DiagonalMatrix&lt; double, 1&gt; A(num_nodes); </span>
<a name="l00108"></a>00108     ScalarField1D              b(num_nodes);
<a name="l00109"></a>00109 
<a name="l00110"></a>00110     <a class="code" href="classTuna_1_1TwoPhaseEquation.html" title="This class derives from GeneralEquation through B &amp; N trick.">TwoPhaseEquation&lt; BLIP1&lt;double, 1&gt;</a> &gt; pressure(p, A, b, mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#a28eefd152c32d59840b14801fceb553e" title="Returns an array with the deltas of the mesh in all axes.">getDeltas</a>());
<a name="l00111"></a>00111     pressure.setDeltaTime(dt); 
<a name="l00112"></a>00112     pressure.setPermeability(permeability);
<a name="l00113"></a>00113     pressure.setPorosity(porosity);
<a name="l00114"></a>00114     pressure.setSrw(Srw);
<a name="l00115"></a>00115     pressure.setSro(Sro);
<a name="l00116"></a>00116     pressure.setViscosity_w(mu_w);
<a name="l00117"></a>00117     pressure.setViscosity_o(mu_o);
<a name="l00118"></a>00118     pressure.setInjection(injection);
<a name="l00119"></a>00119     pressure.setNeumann  (LEFT_WALL, -injection * mu_w / permeability);
<a name="l00120"></a>00120     pressure.setDirichlet(RIGHT_WALL);
<a name="l00121"></a>00121     pressure.setSaturation(Sw);
<a name="l00122"></a>00122     pressure.print();
<a name="l00123"></a>00123 
<a name="l00124"></a>00124     <span class="comment">//</span>
<a name="l00125"></a>00125     <span class="comment">// In these case, the boundary conditions are calculated in</span>
<a name="l00126"></a>00126     <span class="comment">// the numerical scheme (the adaptor BLES1).</span>
<a name="l00127"></a>00127     <span class="comment">//</span>
<a name="l00128"></a>00128     <a class="code" href="classTuna_1_1TwoPhaseEquation.html" title="This class derives from GeneralEquation through B &amp; N trick.">TwoPhaseEquation&lt; BLES1&lt;double, 1&gt;</a> &gt; saturation(Sw, A, b, mesh.<a class="code" href="classTuna_1_1StructuredMesh.html#a28eefd152c32d59840b14801fceb553e" title="Returns an array with the deltas of the mesh in all axes.">getDeltas</a>());
<a name="l00129"></a>00129     saturation.setDeltaTime(dt); 
<a name="l00130"></a>00130     saturation.setPermeability(permeability);
<a name="l00131"></a>00131     saturation.setPorosity(porosity);
<a name="l00132"></a>00132     saturation.setSrw(Srw);
<a name="l00133"></a>00133     saturation.setSro(Sro);
<a name="l00134"></a>00134     saturation.setViscosity_w(mu_w);
<a name="l00135"></a>00135     saturation.setViscosity_o(mu_o);
<a name="l00136"></a>00136     saturation.setInjection(injection);   
<a name="l00137"></a>00137     saturation.applyBounds(1, Sw.ubound(firstDim)-1);<span class="comment">// just to move the indexes</span>
<a name="l00138"></a>00138     saturation.setPressure(p);
<a name="l00139"></a>00139     saturation.print();
<a name="l00140"></a>00140 
<a name="l00141"></a>00141     ofstream error_fp(<span class="stringliteral">&quot;./DataBL1D/error&quot;</span>), residual_fp(<span class="stringliteral">&quot;./DataBL1D/residual&quot;</span>);
<a name="l00142"></a>00142     <span class="keywordtype">int</span> iteration = 1, idprint = 1;
<a name="l00143"></a>00143     <span class="keywordtype">double</span> t = dt;
<a name="l00144"></a>00144     <span class="keywordtype">double</span> error = 1.0;
<a name="l00145"></a>00145     <span class="keywordtype">double</span> residual = 1.0;
<a name="l00146"></a>00146     <span class="keywordtype">int</span> pausa;
<a name="l00147"></a>00147 
<a name="l00148"></a>00148     <span class="keywordtype">int</span> bi = saturation.get_bi(), ei = saturation.get_ei();
<a name="l00149"></a>00149 
<a name="l00150"></a>00150     frequency *= (86400 / dt);
<a name="l00151"></a>00151 
<a name="l00152"></a>00152     <span class="keywordflow">while</span> (t &lt;= Tmax) {
<a name="l00153"></a>00153 
<a name="l00154"></a>00154       pressure.calcCoefficients();
<a name="l00155"></a>00155       Solver::TDMA1D(pressure);
<a name="l00156"></a>00156       residual = pressure.calcResidual();
<a name="l00157"></a>00157       error = pressure.calcErrorL1();
<a name="l00158"></a>00158       error_fp &lt;&lt; iteration &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; error &lt;&lt; std::endl;
<a name="l00159"></a>00159       residual_fp &lt;&lt; iteration &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; residual &lt;&lt; std::endl;        
<a name="l00160"></a>00160       pressure.update();
<a name="l00161"></a>00161 
<a name="l00162"></a>00162       saturation.calcCoefficients();
<a name="l00163"></a>00163       Solver::solExplicit(saturation);
<a name="l00164"></a>00164       error = saturation.calcErrorL1();
<a name="l00165"></a>00165       saturation.update();
<a name="l00166"></a>00166 
<a name="l00167"></a>00167       <span class="comment">/* *</span>
<a name="l00168"></a>00168 <span class="comment">      // Flux limiter</span>
<a name="l00169"></a>00169 <span class="comment">      for(int i = 0; i &lt;= (ei+1); ++i) {</span>
<a name="l00170"></a>00170 <span class="comment">        if ( Sw(i) &gt; Sw_in) Sw(i) = Sw_in;</span>
<a name="l00171"></a>00171 <span class="comment">        if ( Sw(i) &lt; Srw  ) Sw(i) = Srw;</span>
<a name="l00172"></a>00172 <span class="comment">      }</span>
<a name="l00173"></a>00173 <span class="comment">      saturation.updatePhi(Sw);</span>
<a name="l00174"></a>00174 <span class="comment">      /* */</span>
<a name="l00175"></a>00175 
<a name="l00176"></a>00176       <span class="keywordflow">if</span> ( !(iteration % frequency) ) {
<a name="l00177"></a>00177         NumUtils::interpolateToNodes(p_n, p);
<a name="l00178"></a>00178         InOut::writeToFile(p_n, 1, <span class="stringliteral">&quot;./DataBL1D/pres.&quot;</span>,dx);
<a name="l00179"></a>00179 
<a name="l00180"></a>00180         NumUtils::interpolateToNodes(Sw_n, Sw);
<a name="l00181"></a>00181         InOut::writeToFile(Sw_n, 1, <span class="stringliteral">&quot;./DataBL1D/satu.&quot;</span>,dx);
<a name="l00182"></a>00182 
<a name="l00183"></a>00183         <span class="comment">/* *</span>
<a name="l00184"></a>00184 <span class="comment">#ifdef WITH_GNUPLOT</span>
<a name="l00185"></a>00185 <span class="comment">        plotter(&quot;p \&quot;./DataBL1D/satu.00001\&quot; title \&quot;Saturation\&quot; w lp&quot;);</span>
<a name="l00186"></a>00186 <span class="comment">        std::cin &gt;&gt; pause;</span>
<a name="l00187"></a>00187 <span class="comment">#endif</span>
<a name="l00188"></a>00188 <span class="comment">        /* */</span>
<a name="l00189"></a>00189 
<a name="l00190"></a>00190         std::cout &lt;&lt; <span class="stringliteral">&quot;\n ---- ID print =&gt; &quot;</span> &lt;&lt; idprint
<a name="l00191"></a>00191                   &lt;&lt; <span class="stringliteral">&quot;\t - Iteration =&gt; &quot;</span> &lt;&lt; iteration 
<a name="l00192"></a>00192                   &lt;&lt; <span class="stringliteral">&quot;\t Step = &quot;</span> &lt;&lt; t
<a name="l00193"></a>00193                   &lt;&lt; <span class="stringliteral">&quot;\n ---- Res = &quot;</span> &lt;&lt; residual
<a name="l00194"></a>00194                   &lt;&lt; <span class="stringliteral">&quot;\t Err = &quot;</span> &lt;&lt; error;
<a name="l00195"></a>00195         std::cout.flush();
<a name="l00196"></a>00196         ++idprint;
<a name="l00197"></a>00197       }
<a name="l00198"></a>00198 
<a name="l00199"></a>00199       ++iteration;
<a name="l00200"></a>00200       t += dt;
<a name="l00201"></a>00201 
<a name="l00202"></a>00202     }
<a name="l00203"></a>00203 
<a name="l00204"></a>00204 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00205"></a>00205 <span class="preprocessor"></span>        plotter(<span class="stringliteral">&quot;p \&quot;./DataBL1D/pres.00001\&quot; title \&quot;Pressure\&quot; w lp&quot;</span>);
<a name="l00206"></a>00206         std::cout &lt;&lt; <span class="stringliteral">&quot;\n \n Press 1 and enter to see the saturation &quot;</span>;
<a name="l00207"></a>00207         std::cin &gt;&gt; pause;
<a name="l00208"></a>00208         plotter(<span class="stringliteral">&quot;p [][0:1] \&quot;./DataBL1D/satu.00001\&quot; title \&quot;Saturation\&quot; w lp&quot;</span>);
<a name="l00209"></a>00209         std::cout &lt;&lt; <span class="stringliteral">&quot;\n \n Press 1 and enter to finish &quot;</span>;
<a name="l00210"></a>00210         std::cin &gt;&gt; pause;
<a name="l00211"></a>00211 <span class="preprocessor">#endif  </span>
<a name="l00212"></a>00212 <span class="preprocessor"></span>
<a name="l00215"></a>00215     <span class="keywordflow">return</span> 0;
<a name="l00216"></a>00216 }
<a name="l00217"></a>00217 
<a name="l00218"></a>00218 
<a name="l00219"></a>00219 
<a name="l00220"></a>00220 
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